# Equilateral triangle in the domain of Maths

A lot of us would be considering the basics of an equilateral triangle. Among the various types of triangles it deserves a special mention. In simple terms it is a triangle where all the three sides, vertex and angles tend to be equal. It is also referred to as equiangular triangle since all the angles are equal of 60 degrees. Splitting of the world equilateral triangle would provide a couple of meanings as equi points to equivalent as lateral would be the sides. Pretty much as it has been suggested all the angles of an equilateral triangle are equal. The three angles are known to fulfil the congruence criteria which would be making it concurrent to each other. It is some ways a regular polygon and as far as geometry includes has three equal sides.

### The properties of an equilateral triangle

There are some properties of an equilateral triangle which consider it as an equilateral triangle and equiangular

• The three sides tend to be equal and all of three angles would be 60 degree.
• It is a regular polygon have three sides equal
• Altitude, median and angle bisector tend to be equal in an equilateral triangle
• The perimeter of an equilateral triangle is 3 a. Here A would be standing for all the three sides
• An area of an equilateral triangle is √3/4(a)square.
• A dividing perpendicular from an angle of the vertex would be split into a couple of halves that is 30 degree angle.

### How the equilateral triangle is different from a scalene triangle and an isosceles triangle

Based on the sides triangles are classified into three types. It is in the form of equilateral triangle, isosceles triangle and scalene triangle. As of now our discussion revolves around equilateral triangle and it would be better if we understand the difference among all of them. Their differentiation is as follows

• Scalene triangle- in a scalene triangle none of the sides are equal or concurrent. Even the angles would be varying from each other. But their interior angles would be measuring 180 degrees
• Isosceles triangle- Here a couple of sides and concurrent angles are equal. All of them would be similar to each other.
• Equilateral triangle- all the three sides and the three angles would be concurrent to each other.

### The angles and sides of an equilateral triangle

If you are looking to obtain more information about an equilateral triangle, we need to have an idea about the definition of an equilateral triangle. It is a regular polygon whose all sides along with angles turn out to be equal. In addition they would be concurrent to each other. Every angle of the quadrilateral would measure 60 degrees.

Let us explain things with the help of a triangle ABC. Here AB= BC= AC all the three sides would be equal to each other and at the same time concurrent. All the angles would measure to 60 degree which too has to be concurrent.

### The perimeter of an equilateral triangle

The perimeter of an equilateral triangle would be the sum of all the three sides of an equiangular triangle. It is from the basic definition of Maths. In short the perimeter of an equilateral triangle would be the sum of all the sides. Taking the above example of an equilateral triangle the perimeter would be AB+ BC+ AC.

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